Representations and Inequalities for Generalized Hypergeometric Functions
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2412-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2412-7 | ||
| 100 | 1 | |a Karp |D D. |u Far Eastern Federal University, Vladivostok, Russia |4 aut | |
| 245 | 1 | 0 | |a Representations and Inequalities for Generalized Hypergeometric Functions |h [Elektronische Daten] |c [D. Karp] |
| 520 | 3 | |a An integral representation for the generalized hypergeometric function unifying known representations via generalized Stieltjes, Laplace, and cosine Fourier transforms is found. Using positivity conditions for the weight in this representation, various new facts regarding generalized hypergeometric functions, including complete monotonicity, log-convexity in upper parameters, monotonicity of ratios, and new proofs of Luke's bounds are established. In addition, two-sided inequalities for the Bessel type hypergeometric functions are derived with the use of their series representations. Bibliography: 22 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/6(2015-06-01), 885-897 |x 1072-3374 |q 207:6<885 |1 2015 |2 207 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2412-7 |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2412-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Karp |D D. |u Far Eastern Federal University, Vladivostok, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/6(2015-06-01), 885-897 |x 1072-3374 |q 207:6<885 |1 2015 |2 207 |o 10958 | ||